Pith Number

pith:PX5C3MUW

pith:2025:PX5C3MUWJ2BOIFPHN6RPYCNMGC

not attested not anchored not stored refs pending

Periodicity in delayed self-regulation is a predator-prey process

Alejandro L\'opez-Nieto

arxiv:2506.07660 v1 · 2025-06-09 · math.DS · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX5C3MUWJ2BOIFPHN6RPYCNMGC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:18:31.139264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfa2db2964e82e415e76fa2fc09ac308ee4fa0aed82c1c85f0ff7e4b4e68a06

Aliases

arxiv: 2506.07660 · arxiv_version: 2506.07660v1 · doi: 10.48550/arxiv.2506.07660 · pith_short_12: PX5C3MUWJ2BO · pith_short_16: PX5C3MUWJ2BOIFPH · pith_short_8: PX5C3MUW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PX5C3MUWJ2BOIFPHN6RPYCNMGC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7dfa2db2964e82e415e76fa2fc09ac308ee4fa0aed82c1c85f0ff7e4b4e68a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e06a8631d2b12968f51ab9f90b4c5d168f97f69873435fd34f61b1acddefda",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-09T11:32:05Z",
    "title_canon_sha256": "ff1276853b8c79d49cd6f87e25cfa915a35e1c42143da072df7131765ec0646a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07660",
    "kind": "arxiv",
    "version": 1
  }
}